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dalvyx [7]
3 years ago
9

If we get the 100 from number 1 each year for ten years and invest each payment in an account that earns 8% how much will be the

re at the end? (1448.66)
Mathematics
1 answer:
blsea [12.9K]3 years ago
4 0

Answer:

$1,448.66

Step-by-step explanation:

The future value of an annuity with yearly deposits 'P' at an interest rate of 'r' invested for 'n' years is determined by:

FV = P[\frac{(1+r)^n-1}{r}]

For P = $100, r = 0.08 and n = 10 years:

FV = 100[\frac{(1+0.08)^{10}-1}{0.08}]\\FV=\$1,448.66

The amount at the end of the ten years is $1,448.66

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Ede4ka [16]

Answer:

D. x = 6

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<u>Pre-Algebra</u>

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In a race in which eleven automobiles are entered and there are no ties, in how many ways can the first three finishers come in?
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Answer:

990 ways

Step-by-step explanation:

The total number of automobiles we have is 11.

Now, what this means is that for the first position , we shall be selecting 1 out of 11 automobiles, this can be done in 11 ways( 11C1 = 11!/(11-1)!1! = 11!/10!1! = 11 ways)

For the second position, since we have the first position already, the number of ways we can select the second position is selecting 1 out of available 10 and that can be done in 10 ways(10C1 ways = 10!9!1! = 10 ways)

For the third position, we have 9 automobiles and we want to select 1, this can be done in 9 ways(9C1 ways = 9!/8!1! = 9 ways)

Thus, the total number of ways the first three finishers come in = 11 * 10 * 9 = 990 ways

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